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Finding the Fourth Proportional to 428,491.75, 643,060.28 and 293,232.01

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Solution

The fourth proportional to 428,491.75, 643,060.28 and 293,232.01 is: 440,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,491.75 : 643,060.28 = 293,232.01 : x
  2. Step 2: Convert to fraction form
    428,491.75/643,060.28 = 293,232.01/x
  3. Step 3: Cross multiply
    428,491.75x = 643,060.28 × 293,232.01
  4. Step 4: Simplify right side
    428,491.75x = 188,565,858,455.56
  5. Step 5: Solve for x
    x = 188,565,858,455.56/428,491.75
  6. Step 6: Final answer
    x = 440,068.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.